Case M208-0 computes the eight-deck 1-2-3-5 Four-Step Ladder (1-2-3-5) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while documents an average stake stake-velocity of 1.19x and 10.06u ($1006) in theoretical house-edge toll. Every 8-deck hand remains statistically independent (45.86% Banker, 44.62% Player, 9.52% Tie), meaning progression sizing reshapes session variance without altering the house edge.
Reference 8-deck shoe for Matrix Cell M208 (1-2-3-5 Four-Step Ladder, 40u bankroll, 720 hands). Big Road and Bead Plate show Banker (red) and Player (blue); derived roads record structural symmetry.
Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.
Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Matrix cell M208 tests 1-2-3-5 Four-Step Ladder with a $100 base unit and -20u/+10u absorbing boundaries.
Probability of hitting the -20u drawdown barrier before completing 720 hands or reaching +10u.
Share of 720-hand trajectories reaching the +10u session ceiling, with 0.50% ending between barriers.
A 100-unit house limit and 40-unit stack cap 1-2-3-5 escalation after 6 adverse coups.
Derived from 857u total action (1.19x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In absorbing-barrier benchmark M208-1, running 1-2-3-5 across 720 deals with 40 units and a 100-unit maximum wager inspects 857u of total handle, 10.06u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.
Case M208-2 verifies the bankroll-constrained 1-2-3-5 Four-Step Ladder (1-2-3-5) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while profiles an average stake drawdown-slope of 1.19x and 10.06u ($1006) in theoretical house-edge toll.
| M208 Parameter | 1-2-3-5 (40u) | 10-Shoe footprint |
|---|---|---|
| 1-2-3-5 Ladder | 1-2-3-5 (4 steps) | Peak 5u multiplier on M208 |
| 40u Stack Window | 720 hands (10 shoes) | Barriers -20u / +10u |
| 100u Ceiling & Ruin | 94.80% ruin vs 19.94% win | Depth 6 steps (3 cap hits) |
| 857u Handle & Hold | 10.06u ($1006) | Multiplier 1.19x (drawdown-weighted drift) |
In capital-bounded benchmark M208-3, running 1-2-3-5 across 720 deals with 40 units and a 100-unit maximum wager tabulates 857u of total handle, 10.06u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.
Case M208-4 quantifies the discrete-time 1-2-3-5 Four-Step Ladder (1-2-3-5) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while benchmarks an average stake volatility-band of 1.19x and 10.06u ($1006) in theoretical house-edge toll.
Enter any sequence to inspect the Big Road, Big Eye Boy, Small Road, Cockroach Pig, and next-hand previews.
About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
Visual step-by-step breakdowns with closed captions, chapter markers, and full searchable transcripts.
Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.
Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.
Inspect Big Road, Bead Plate, Big Eye Boy, Small Road, and Cockroach Pig marks interactively.
Step-by-step lookback rules for Big Eye Boy (1), Small Road (2), and Cockroach Pig (3).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.